ROOT::Math::RotationZ Class Reference

Rotation class representing a 3D rotation about the Z axis by the angle of rotation.

For efficiency reason, in addition to the the angle, the sine and cosine of the angle are held

See also

Overview of the physics vector library

Definition at line 45 of file RotationZ.h.

Public Types
typedef double	Scalar

Public Member Functions
	RotationZ ()
	Default constructor (identity rotation) More...
	RotationZ (Scalar angle)
	Construct from an angle. More...
Scalar	Angle () const
	Angle of rotation. More...
Scalar	CosAngle () const
void	GetAngle (Scalar &angle) const
	Get the angle. More...
void	GetComponents (Scalar &angle) const
RotationZ	Inverse () const
	Return inverse of a rotation. More...
void	Invert ()
	Invert a rotation in place. More...
bool	operator!= (const RotationZ &rhs) const
template<class CoordSystem , class U >
DisplacementVector3D< CoordSystem, U >	operator() (const DisplacementVector3D< CoordSystem, U > &v) const
	Rotation operation on a displacement vector in any coordinate system. More...
template<class ForeignVector >
ForeignVector	operator() (const ForeignVector &v) const
	Rotation operation on an arbitrary vector v. More...
template<class CoordSystem >
LorentzVector< CoordSystem >	operator() (const LorentzVector< CoordSystem > &v) const
	Rotation operation on a Lorentz vector in any 4D coordinate system. More...
template<class CoordSystem , class U >
PositionVector3D< CoordSystem, U >	operator() (const PositionVector3D< CoordSystem, U > &v) const
	Rotation operation on a position vector in any coordinate system. More...
template<class AVector >
AVector	operator* (const AVector &v) const
	Overload operator * for rotation on a vector. More...
RotationZ	operator* (const RotationZ &r) const
	Multiply (combine) two rotations. More...
RotationZ &	operator*= (const RotationZ &r)
	Post-Multiply (on right) by another rotation : T = T*R. More...
bool	operator== (const RotationZ &rhs) const
	Equality/inequality operators. More...
void	Rectify ()
	Rectify makes sure the angle is in (-pi,pi]. More...
void	SetAngle (Scalar angle)
	Set given the angle. More...
void	SetComponents (Scalar angle)
Scalar	SinAngle () const
	Sine or Cosine of the rotation angle. More...

Private Attributes
Scalar	fAngle
Scalar	fCos
Scalar	fSin

#include <Math/GenVector/RotationZ.h>

Member Typedef Documentation

Scalar

typedef double ROOT::Math::RotationZ::Scalar

Definition at line 49 of file RotationZ.h.

Constructor & Destructor Documentation

RotationZ() [1/2]

ROOT::Math::RotationZ::RotationZ ( )

inline

Default constructor (identity rotation)

Definition at line 57 of file RotationZ.h.

RotationZ() [2/2]

ROOT::Math::RotationZ::RotationZ ( Scalar  angle )

inlineexplicit

Construct from an angle.

Definition at line 62 of file RotationZ.h.

Member Function Documentation

Angle()

Scalar ROOT::Math::RotationZ::Angle ( ) const

inline

Angle of rotation.

Definition at line 105 of file RotationZ.h.

CosAngle()

Scalar ROOT::Math::RotationZ::CosAngle ( ) const

inline

Definition at line 111 of file RotationZ.h.

GetAngle()

void ROOT::Math::RotationZ::GetAngle ( Scalar &  angle ) const

inline

Get the angle.

Definition at line 99 of file RotationZ.h.

GetComponents()

void ROOT::Math::RotationZ::GetComponents ( Scalar &  angle ) const

inline

Definition at line 100 of file RotationZ.h.

Inverse()

RotationZ ROOT::Math::RotationZ::Inverse ( ) const

inline

Return inverse of a rotation.

Definition at line 189 of file RotationZ.h.

Invert()

void ROOT::Math::RotationZ::Invert ( )

inline

Invert a rotation in place.

Definition at line 184 of file RotationZ.h.

operator!=()

bool ROOT::Math::RotationZ::operator!= ( const RotationZ &  rhs ) const

inline

Definition at line 217 of file RotationZ.h.

operator()() [1/4]

template<class CoordSystem , class U >

DisplacementVector3D< CoordSystem, U > ROOT::Math::RotationZ::operator() ( const DisplacementVector3D< CoordSystem, U > &  v ) const

inline

Rotation operation on a displacement vector in any coordinate system.

Definition at line 129 of file RotationZ.h.

operator()() [2/4]

template<class ForeignVector >

ForeignVector ROOT::Math::RotationZ::operator() ( const ForeignVector &  v ) const

inline

Rotation operation on an arbitrary vector v.

Preconditions: v must implement methods x(), y(), and z() and the arbitrary vector type must have a constructor taking (x,y,z)

Definition at line 165 of file RotationZ.h.

operator()() [3/4]

template<class CoordSystem >

LorentzVector< CoordSystem > ROOT::Math::RotationZ::operator() ( const LorentzVector< CoordSystem > &  v ) const

inline

Rotation operation on a Lorentz vector in any 4D coordinate system.

Definition at line 151 of file RotationZ.h.

operator()() [4/4]

template<class CoordSystem , class U >

PositionVector3D< CoordSystem, U > ROOT::Math::RotationZ::operator() ( const PositionVector3D< CoordSystem, U > &  v ) const

inline

Rotation operation on a position vector in any coordinate system.

Definition at line 140 of file RotationZ.h.

operator*() [1/2]

template<class AVector >

AVector ROOT::Math::RotationZ::operator* ( const AVector &  v ) const

inline

Overload operator * for rotation on a vector.

Definition at line 176 of file RotationZ.h.

operator*() [2/2]

RotationZ ROOT::Math::RotationZ::operator* ( const RotationZ &  r ) const

inline

Multiply (combine) two rotations.

Definition at line 196 of file RotationZ.h.

operator*=()

RotationZ & ROOT::Math::RotationZ::operator*= ( const RotationZ &  r )

inline

Post-Multiply (on right) by another rotation : T = T*R.

Definition at line 208 of file RotationZ.h.

operator==()

bool ROOT::Math::RotationZ::operator== ( const RotationZ &  rhs ) const

inline

Equality/inequality operators.

Definition at line 213 of file RotationZ.h.

Rectify()

void ROOT::Math::RotationZ::Rectify ( )

inline

Rectify makes sure the angle is in (-pi,pi].

Definition at line 74 of file RotationZ.h.

SetAngle()

void ROOT::Math::RotationZ::SetAngle ( Scalar  angle )

inline

Set given the angle.

Definition at line 88 of file RotationZ.h.

SetComponents()

void ROOT::Math::RotationZ::SetComponents ( Scalar  angle )

inline

Definition at line 94 of file RotationZ.h.

SinAngle()

Scalar ROOT::Math::RotationZ::SinAngle ( ) const

inline

Sine or Cosine of the rotation angle.

Definition at line 110 of file RotationZ.h.

Member Data Documentation

fAngle

Scalar ROOT::Math::RotationZ::fAngle

private

Definition at line 223 of file RotationZ.h.

fCos

Scalar ROOT::Math::RotationZ::fCos

private

Definition at line 225 of file RotationZ.h.

fSin

Scalar ROOT::Math::RotationZ::fSin

private

Definition at line 224 of file RotationZ.h.

Libraries for ROOT::Math::RotationZ:

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